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LCM of 825, 692, 108, 516

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 825, 692, 108, 516 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 825, 692, 108, 516. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 825,692,108,516

Given numbers are 825,692,108,516

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 825,692,108,516 is 220938300.

Find LCM of 825,692,108,516 with Prime Factorization


2 825, 692, 108, 516
2 825, 346, 54, 258
3 825, 173, 27, 129
275, 173, 9, 43

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 275 x 173 x 9 x 43 = 220938300

Therefore, the lowest common multiple of 825,692,108,516 is 220938300.

LCM Formula to Find Lowest Common Multiple of 825,692,108,516

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

825 x 692 x 108 x 516 = 31815115200

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

692 : 1, 2, 4, 173, 346, 692

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,692,108,516, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

692:2x 2x 173

108:2x 2x 3x 3x 3

516:2x 2x 3x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 31815115200/(1x144)

LCM = 31815115200/144

LCM = 220938300

Thus, we can understand that the LCM of 825,692,108,516 is 220938300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 825, 692, 108, 516

1. What is the LCM of 825, 692, 108, 516?

Answer: LCM of 825, 692, 108, 516 is 220938300.

2. How to calculate the LCM of 825, 692, 108, 516?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 825, 692, 108, 516.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.